GCF for 75 and 135

What is the Greatest common Divisor of 75 and 135?

Answer: GCF of 75 and 135 is 15

(Fifteen)

Finding GCF for 75 and 135 using all factors (divisors) listing

The first method to find GCF for numbers 75 and 135 is to list all factors for both numbers and pick the highest common one:

All factors of 75: 1, 3, 5, 15, 25, 75

All factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

So the Greatest Common Factor for 75 and 135 is 15

Finding GCF for 75 and 135 by Prime Factorization

The second method to find GCF for numbers 75 and 135 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 75: 3, 5, 5

All Prime Factors of 135: 3, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

GCF Table

Number 1Number 2GCF
60135
611351
621351
631359
641351
651355
661353
671351
681351
691353
701355
711351
721359
731351
741351
75135
761351
771351
781353
791351
801355
81135
821351
831351
841353
851355
861351
871353
881351
891351

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 75 and 135? (The answer is: 15). Select the first number (e.g. '75') and the second number (e.g. '135'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest common Divisor of 75 and 135?

GCF of 75 and 135 is 15